The book provides a self-contained and systematic treatment of algebraic and topological
properties of convex sets in the n-dimensional Euclidean space. It benefits advanced …

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In this paper the generalized Minkowski sets are defined and characterized. On the other
hand, the Motzkin decomposable sets, along with their epigraphic versions are considered …

The aim of this paper is twofold. On one hand the generalized Minkowski sets are defined
and characterized. On the other hand, the Motzkin decomposable sets, along with their …

Given a nonempty set E⊂ Rn, we provide necessary and sufficient conditions for the
existence of a convex set K⊂ Rn (possibly, nonclosed and unbounded) such that extK= E …

In this paper, we consider the closed convex sets with full Pareto-like relative boundary and
call them Pareto bordered sets. We gradually characterize such sets by paying some special …

We consider scalar equilibrium problems governed by a bifunction in a finite-dimensional
framework. By using classical arguments in Convex Analysis, we show that under suitable …

We consider and characterize closed convex subsets of the Euclidean space which are
simultaneously Motzkin decomposable and generalized Minkowski or, shortly, MdgM sets …

We consider and characterize closed convex subsets of the Euclidean space which are
simultaneously Motzkin decomposable and generalized Minkowski or, shortly, MdgM sets …